Rodgers is the better option, but it depends on what intel they have on what their chances are to land him. Do they even know whether he will be an option at all for anyone besides GB or his couch, let alone what their odds are if he declared he was open for business for any team in the AFC (he isn't going to the NFC). No one seems to have any idea what Rodgers is thinking, as he has stated many times.
If you don't have some sort of solid clue you are high in the running for Rodgers, I don't think you can risk waiting around and getting stuck with Brissett or Mayfield.
The other concern is whether Carr is even significantly interested in playing for the Jets. Only the Jets know how things went on the visit this weekend. He might have just smiled and nodded and that's it. He might have jizzed in his pants when he met the front office and begged to sign here, who knows?
Another question is whether they think Carr is a significantly better option than Tannehill or Jimmy G. Tannehill may not even be an option at all since he isn't guaranteed to be released at all. Carr is younger than Tannehill, but if the salary is markedly higher for Carr, maybe he isn't that much more talented to justify it.
It's gonna be fun times the next few weeks. Lots of unanswered questions.
-Who do they prefer?
-Who do they think they have a good chance at getting?
-Do the Jets have any back channel info about interest from the QBs?
-Who is the favorite option after Carr and Rodgers?
-Who shot JR?
